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Finding the Third Proportional to 75,907.50 and 113,448

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Solution

The third proportional to 75,907.50 and 113,448 is: 169,554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,907.50 : 113,448 = 113,448 : x
  2. Step 2: Convert to fraction form
    75,907.50/113,448 = 113,448/x
  3. Step 3: Cross multiply
    75,907.50x = 113,448 × 113,448
  4. Step 4: Simplify right side
    75,907.50x = 12,870,448,704
  5. Step 5: Solve for x
    x = 12,870,448,704/75,907.50
  6. Step 6: Final answer
    x = 169,554.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.